Question : Use the sequence feature of a graphing calculator to evaluate : 2158607

Evaluate the sum.

41)

A) 19

B) 5

C) 13

D) 9

42)

A) 79

B) 107

C) 77

D) 54

43)

A) -75

B) 636

C) 601

D) -46

44)

A) 147

B) 146

C) 132

D) 133

45)

A) 1296

B) 1440

C) 1432

D) 1288

46)

A) 3,128,751

B) 3,127,500.5

C) 3,123,750

D) 3,126,250

Use the sequence feature of a graphing calculator to evaluate the sum of the first 10 terms of the arithmetic sequence. Round to the nearest thousandth, if necessary.

47) a_n = 3.6n + 8.83

A) 44.83

B) 286.3

C) 41.23

D) 241.47

48) a_n = √(5)n + √(3)

A) 116.212

B) 140.304

C) 117.944

D) 166.633

49) a_n = -(3)√(8)n - √(11)

A) -28.633

B) -143.166

C) 90.000

D) 76.834

Solve the problem.

50) Find the sum of all the integers from 30 to 85.

A) 3135

B) 3190

C) 3220

D) 3105

51) Find the sum of all the integers from -28 to 23.

A) -153

B) -130

C) -125

D) -102

52) A man earned $3500 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 15th year?

A) None of these

B) $12,500

C) $11,900

D) $8400

53) The population of a town was 24,300 at the beginning of 1970. If the population decreased by 250 people per year, how many people lived in the town at the beginning of 1985?

A) 20,550

B) 20,300

C) 20,800

D) 3750

54) John does 12 pushups on the first day of a 30-day month, and then increases the number of pushups by 2 pushups a day.  How many pushups has he done by the end of the month?

A) 1218

B) 1230

C) 1290

D) 1260

55) A railroad bridge is built over a V-shaped canyon.  If the supports are 4 feet long at each end, the center support is 278 feet long, and the supports increase in length by 2 feet with each support (from 4 feet to 278 feet), what is the total length of all the supports?

A) 38,640 feet

B) 38,638 feet

C) 38,636 feet

D) 38,634 feet

56) A stack of poles has 20 poles in the bottom row, 19 poles in the next row, and so on, with 5 poles in the top row.  How many poles are there in the stack?

A) 177

B) 200

C) 195

D) 205

57) A certain club initially has 170 members and membership increases by 3 members every month.  If dues are $15/month, what is the total amount of dues collected during the first year? 

A) $31,020

B) $33,840

C) $30,525

D) $33,570

58) During the first day of an epidemic 3000 people get sick, during the second day 6000 people get sick, and so on with the number of people getting sick increasing by 3000 each day.  The epidemic peaks after 30 days with 3000 fewer people getting sick on the 31st day than on the 30th day, and so forth.  What is the total number of people who get sick?

A) 2,610,000

B) 2,790,000

C) 2,700,000

D) 2,745,000

59) Martin saves $2 on the first day of a 10-day period, $4 on the second day, and so on. For the next 10 days, he increases the amount saved by $4 each day (instead of $2 each day). How much will he have saved after 20 days?

A) $520

B) $560

C) $530

D) $540

Provide an appropriate response.

60) Which of these is not an arithmetic sequence?

A) -5, 2, 9, 16

B) (1/3), (2/3), 1, (4/3)

C) 1, 3, 5, 7

D) 3, 6, 12, 24

61) Let a_n= a₁+ (n - 1)d₁ and b_n= b₁+ (n - 1)d₂ be arithmetic sequences.  Given that c_n= a_n+ r⋅b_n is also an arithmetic sequence, find c₁.

A) a₁+ b₁+ r(d₁+ d₂)

B) a₁+ r⋅b₁

C) a₁+ b₁+ d₁+ d₂

D) a₁+ b₁

62) Let a_n= a₁ + (n - 1)d₁ and b_n= b₁ + (n - 1)d₂ be arithmetic sequences.  Given that c_n= a_n+ r⋅b_n is also an arithmetic sequence, find the common difference.

A) d₁+ r⋅d₂

B) d₁- d₂

C) d₁- r⋅d₂

D) d₁+ d₂

63) Suppose a₁, a₂, a₃, a₄, a₅, ... and b₁= a₁, b₂= a₃, b₃= a₅, ... are sequences. Find the equation relating a_n and b_n.

A) b_n= a_2n+1

B) a_n= b_2n+1

C) b_n= a_2n-1

D) a_n= b_2n-1

64) Suppose a_n= a₁^{+ (n - 1)} d is an arithmetic sequence.  Given that b₁= a₁,b₂= a₃,b₃= a₅, ...  is also an arithmetic sequence, find the common difference for b_n.

A) d + 2

B) d + 1

C) d

D) 2d